What is the Least Common Multiple of 55162 and 55178?
Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.
Least common multiple (LCM) of 55162 and 55178 is 1521864418.
LCM(55162,55178) = 1521864418
Least Common Multiple of 55162 and 55178 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55162 and 55178, than apply into the LCM equation.
GCF(55162,55178) = 2
LCM(55162,55178) = ( 55162 × 55178) / 2
LCM(55162,55178) = 3043728836 / 2
LCM(55162,55178) = 1521864418
Least Common Multiple (LCM) of 55162 and 55178 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 55162 and 55178. First we will calculate the prime factors of 55162 and 55178.
Prime Factorization of 55162
Prime factors of 55162 are 2, 27581. Prime factorization of 55162 in exponential form is:
55162 = 21 × 275811
Prime Factorization of 55178
Prime factors of 55178 are 2, 47, 587. Prime factorization of 55178 in exponential form is:
55178 = 21 × 471 × 5871
Now multiplying the highest exponent prime factors to calculate the LCM of 55162 and 55178.
LCM(55162,55178) = 21 × 275811 × 471 × 5871
LCM(55162,55178) = 1521864418
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